Bài 1 : Tính :
a)\(\frac{\left(13\frac{1}{4}-2\frac{5}{27}-10\frac{5}{6}\right)\times230\frac{1}{5}+46\frac{3}{4}}{\left(1\frac{3}{10}+\frac{10}{3}\right)\div\left(12\frac{1}{3}-14\frac{2}{7}\right)}\)
b) \(\frac{2^{12}\times3^5-4^6\times9^2}{\left(2^4\times3\right)^6+8^4\times3^5}-\frac{5^{10}\times7^3-25^5\times49^2}{\left(125\times7\right)^3+5^9\times14^3}\)
c)P=\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{2016}}{\frac{2015}{1}+\frac{2014}{2}+\frac{2013}{3}+....+\frac{1}{2015}}\)
Tính GTBT:
A=5^2+10^2+15^2+.....+2015^2
B=1^2-2^2+3^2-4^2+.......+2015^2-2016^2
C=10+10^2+10^3+........+10^17
rút gọn
\(B=\frac{1+2+2^2+2^3+...+2^{2019}}{1+2^5+2^{10}+2^{15}+...+2^{2015}}\)
tính nhanh
\(\frac{2^{15}.9^4}{6^6.8^3}\) \(-\frac{45^{10}.5^{20}}{75^{15}}\) \(\frac{8^{20}+4^{20}}{4^{25}+6^{35}}\) \(\frac{3^{10}.2^{10}}{16.4.243}\)
tính
\(A=\frac{1}{17}+\frac{1}{17.27}+\frac{1}{27.37}+....+\frac{1}{2007.2017}\)
\(A=\left(\frac{1}{2^2}-1\right).\left(\frac{1}{3^2}-1\right).\left(\frac{1}{4^2}-1\right)......\left(\frac{1}{2015^2}-1\right)\)
\(A=3+3^2+3^3+....+3^{2015}\)
\(A=1+3^2+3^4+.......+3^{2016}\)
\(2016^{\left(169-1^2\right).\left(169-2^2\right).\left(169-13^2\right)}\)\(2015^{2.3.4....2016}\)
\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
giải hộ mình với, mai phải nộp r :<
Rút gọn biểu thức sau
a ) A=1/5 +2/5^2+3/5^3+.....+2015/5^2015
\(-1-2+3+4-5-6+7+8-9-10+11+12-...-2013-2014+2015+2016\\ \) 2016
So sánh:
a) A=9^10 và B= ( 8^9+7^9+6^9+...+2^9+1^9)
b) P= 2013/2014 + 2014/2015 + 2015/2016 với Q= 2013+2014+2015 / 2014+2015+2016
cho f(X)=100^x/100^x+10.
tính tổng
Q=f(1/2015)+f(2/2015)+f(3/2015)+...+f(2014/2015)
cho f(X)=100^x/100^x+10.
tính tổng
Q=f(1/2015)+f(2/2015)+f(3/2015)+...+f(2014/2015)